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Finding the Fourth Proportional to 786.42, 1,084.78 and 520.86

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Solution

The fourth proportional to 786.42, 1,084.78 and 520.86 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,084.78 = 520.86 : x
  2. Step 2: Convert to fraction form
    786.42/1,084.78 = 520.86/x
  3. Step 3: Cross multiply
    786.42x = 1,084.78 × 520.86
  4. Step 4: Simplify right side
    786.42x = 565,018.51
  5. Step 5: Solve for x
    x = 565,018.51/786.42
  6. Step 6: Final answer
    x = 718.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.